The heated debates and severe conflicts between the atomists and the anti-atomists of the latter half of the nineteenth century are well known to the historian of science. The position of Dmitrii Ivanovich Mendeleev towards these nineteenth century debates on atomism will be studied in this paper. A first attempt will thus be offered to reconcile Mendeleev’s seemingly contradictory comments and ambiguous standpoints into one coherent view.

This review paper provides a detailed overview and critical analysis of the philosophical literature on the Rietdijk–Putnam–Maxwell argument for the four-dimensionality of the world. After briefly introducing the debate on the dimensionality of the world, I present the arguments by Rietdijk, Putnam and Maxwell, and highlight the differences between them. I subsequently raise a total of eleven objections against the Rietdijk–Putnam–Maxwell argument, and conclude that its validity is underdetermined by the formalism of special relativity.

The debate on the conventionality of simultaneity and the debate on the dimensionality of the world have been central in the philosophy of special relativity. The link between both debates however has rarely been explored. The purpose of this paper is to gauge what implications the former debate has for the latter. I show the situation to be much more subtle than was previously argued, and explain how the ontic versus epistemic distinction in the former debate impacts the latter. Despite (...) claims to the contrary, I conclude that special relativity leaves the debate on the dimensionality of the world underdetermined. (shrink)

This paper is a study of higher-order contingentism – the view, roughly, that it is contingent what properties and propositions there are. We explore the motivations for this view and various ways in which it might be developed, synthesizing and expanding on work by Kit Fine, Robert Stalnaker, and Timothy Williamson. Special attention is paid to the question of whether the view makes sense by its own lights, or whether articulating the view requires drawing distinctions among possibilities that, according to (...) the view itself, do not exist to be drawn. The paper begins with a non-technical exposition of the main ideas and technical results, which can be read on its own. This exposition is followed by a formal investigation of higher-order contingentism, in which the tools of variable-domain intensional model theory are used to articulate various versions of the view, understood as theories formulated in a higher-order modal language. Our overall assessment is mixed: higher-order contingentism can be fleshed out into an elegant systematic theory, but perhaps only at the cost of abandoning some of its original motivations. (shrink)

The aim of this doctoral dissertation is to closely explore the nature of Einstein’s block universe and to tease out its implications for the nature of time and human freedom. Four questions, in particular, are central to this dissertation, and set out the four dimensions of this philosophical investigation: (1) Does the block universe view of time follow inevitably from the theory of special relativity? (2) Is there room for the passage of time in the block universe? (3) Can we (...) distinguish past from future in the block universe? (4) Is there room for human freedom in the block universe? Although the answer of most philosophers would be yes, triple no, my own answer, controversially, is no, triple yes. -/- I thereby challenge the status quo with respect to each of these metaphysical questions, and argue that none of these questions can be answered from looking at physics alone. Physics may constrain our metaphysics, but it certainly does not settle it. What is needed in order to answer these questions, are additional metaphysical assumptions that fall outside the scope of modern physics. My primary goal in this dissertation, therefore, is not to settle the debates on the nature of time and human freedom, but to clarify them by expliciting the metaphysical assumptions that are otherwise left implicit. (shrink)

Human freedom is in tension with nomological determinism and with statistical determinism. The goal of this paper is to answer both challenges. Four contributions are made to the free-will debate. First, we propose a classification of scientific theories based on how much freedom they allow. We take into account that indeterminism comes in different degrees and that both the laws and the auxiliary conditions can place constraints. A scientific worldview pulls towards one end of this classification, while libertarianism pulls towards (...) the other end of the spectrum. Second, inspired by Hoefer, we argue that an interval of auxiliary conditions corresponds to a region in phase space, and to a bundle of possible block universes. We thus make room for a form of non-nomological indeterminism. Third, we combine crucial elements from the works of Hoefer and List; we attempt to give a libertarian reading of this combination. On our proposal, throughout spacetime, there is a certain amount of freedom that can be interpreted as the result of agential choices. Fourth, we focus on the principle of alternative possibilities throughout and propose three ways of strengthening it. (shrink)

This paper is concerned with a propositional modal logic with operators for necessity, actuality and apriority. The logic is characterized by a class of relational structures defined according to ideas of epistemic two-dimensional semantics, and can therefore be seen as formalizing the relations between necessity, actuality and apriority according to epistemic two-dimensional semantics. We can ask whether this logic is correct, in the sense that its theorems are all and only the informally valid formulas. This paper gives outlines of two (...) arguments that jointly show that this is the case. The first is intended to show that the logic is informally sound, in the sense that all of its theorems are informally valid. The second is intended to show that it is informally complete, in the sense that all informal validities are among its theorems. In order to give these arguments, a number of independently interesting results concerning the logic are proven. In particular, the soundness and completeness of two proof systems with respect to the semantics is proven (Theorems 2.11 and 2.15), as well as a normal form theorem (Theorem 3.2), an elimination theorem for the actuality operator (Corollary 3.6), and the decidability of the logic (Corollary 3.7). It turns out that the logic invalidates a plausible principle concerning the interaction of apriority and necessity; consequently, a variant semantics is briefly explored on which this principle is valid. The paper concludes by assessing the implications of these results for epistemic two-dimensional semantics. (shrink)

According to propositional contingentism, it is contingent what propositions there are. This paper presents two ways of modeling contingency in what propositions there are using two classes of possible worlds models. The two classes of models are shown to be equivalent as models of contingency in what propositions there are, although they differ as to which other aspects of reality they represent. These constructions are based on recent work by Robert Stalnaker; the aim of this paper is to explain, expand, (...) and, in one aspect, correct Stalnaker's discussion. (shrink)

According to the view that there is moral encroachment in epistemology, whether a person has knowledge of p sometimes depends on moral considerations, including moral considerations that do not bear on the truth or likelihood of p. Defenders of moral encroachment face a central challenge: they must explain why the moral considerations they cite, unlike moral bribes for belief, are reasons of the right kind for belief (or withheld belief). This paper distinguishes between a moderate and a radical version of (...) moral encroachment. It shows that, while defenders of moderate moral encroachment are well-placed to meet the central challenge, defenders of radical moral encroachment are not. The problem for radical moral encroachment is that it cannot, without taking on unacceptable costs, forge the right sort of connection between the moral badness of a belief and that belief’s chance of being false. (shrink)

To this day, a hundred and fifty years after Mendeleev's discovery, the overal structure of the periodic system remains unaccounted for in quantum-mechanical terms. Given this dire situation, a handful of scientists in the 1970s embarked on a quest for the symmetries that lie hidden in the periodic table. Their goal was to explain the table's structure in group-theoretical terms. We argue that this symmetry program required an important paradigm shift in the understanding of the nature of chemical elements. The (...) idea, in essence, consisted of treating the chemical elements, not as particles, but as states of a superparticle. We show that the inspiration for this came from elementary particle physics, and in particular from Heisenberg's suggestion to treat the proton and neutron as different states of the nucleon. We provide a careful study of Heisenberg's last paper on the nature of elementary particles, and explain why the Democritean picture of matter no longer applied in modern physics and a Platonic symmetry-based picture was called for instead. We show how Heisenberg's Platonic philosophy came to dominate the field of elementary particle physics, and how it found its culmination point in Gell-Mann's classification of the hadrons in the eightfold way. We argue that it was the success of Heisenberg's approach in elementary particle physics that sparked the group-theoretical approach to the periodic table. We explain how it was applied to the set of chemical elements via a critical examination of the work of the Russian mathematician Abram Ilyich Fet the Turkish-American physicist Asim Orhan Barut, before giving some final reflections. (shrink)

This chapter provides an introduction to higher-order metaphysics as well as to the contributions to this volume. We discuss five topics, corresponding to the five parts of this volume, and summarize the contributions to each part. First, we motivate the usefulness of higher-order quantification in metaphysics using a number of examples, and discuss the question of how such quantifiers should be interpreted. We provide a brief introduction to the most common forms of higher-order logics used in metaphysics, and indicate a (...) number of questions which can be raised in such systems using logical vocabulary alone. Using a further example, we return to applications of higher-order logics in metaphysics. We also mention key developments in the history of higher-order logic as it pertains to metaphysics. Finally, we mention certain arguments which have been raised against the use of higher-order logic, and some ways of responding to them. (shrink)

Subject-sensitive invariantism posits surprising connections between a person’s knowledge and features of her environment that are not paradigmatically epistemic features. But which features of a person’s environment have this distinctive connection to knowledge? Traditional defenses of subject-sensitive invariantism emphasize features that matter to the subject of the knowledge-attribution. Call this pragmatic encroachment. A more radical thesis usually goes ignored: knowledge is sensitive to moral facts, whether or not those moral facts matter to the subject. Call this moral encroachment. This paper (...) argues that, insofar as there are good arguments for pragmatic encroachment, there are also good arguments for moral encroachment. (shrink)

Hypocrites are often thought to lack the standing to blame others for faults similar to their own. Although this claim is widely accepted, it is seldom argued for. We offer an argument for the claim that nonhypocrisy is a necessary condition on the standing to blame. We first offer a novel, dispositional account of hypocrisy. Our account captures the commonsense view that hypocrisy involves making an unjustified exception of oneself. This exception-making involves a rejection of the impartiality of morality and (...) thereby a rejection of the equality of persons, which we argue grounds the standing to blame others. (shrink)

Tae Wan Kim, John Hooker, and Thomas Donaldson make an attempt, in recent articles, to solve the alignment problem. As they define the alignment problem, it is the issue of how to give AI systems moral intelligence. They contend that one might program machines with a version of Kantian ethics cast in deontic modal logic. On their view, machines can be aligned with human values if such machines obey principles of universalization and autonomy, as well as a deontic utilitarian principle. (...) Programming machines to do so might be useful, in their view, for applications such as future autonomous vehicles. Their proposal draws both on traditional logic-based and contemporary connectionist approaches, to fuse factual information with normative principles. I will argue that this approach makes demands of machines that go beyond what is currently feasible, and may extend past the limits of the possible for AI. I also argue that a deontological ethics for machines should place greater stress on the formula of humanity of the Kantian categorical imperative. On this principle, one ought never treat a person as a mere means. Recognition of what makes a person a person requires ethical insight. Similar insight is needed to tell treatment as a means from treatment as a mere means. The resources in Kim, Hooker, and Donaldson’s approach is insufficient for this reason. Hesitation regarding deployment of autonomous machines is warranted in light of these alignment concerns. (shrink)

I consider the first-order modal logic which counts as valid those sentences which are true on every interpretation of the non-logical constants. Based on the assumptions that it is necessary what individuals there are and that it is necessary which propositions are necessary, Timothy Williamson has tentatively suggested an argument for the claim that this logic is determined by a possible world structure consisting of an infinite set of individuals and an infinite set of worlds. He notes that only the (...) cardinalities of these sets matters, and that not all pairs of infinite sets determine the same logic. I use so-called two-cardinal theorems from model theory to investigate the space of logics and consequence relations determined by pairs of infinite sets, and show how to eliminate the assumption that worlds are individuals from Williamson’s argument. (shrink)

We often speak as if there are merely possible people—for example, when we make such claims as that most possible people are never going to be born. Yet most metaphysicians deny that anything is both possibly a person and never born. Since our unreflective talk of merely possible people serves to draw non-trivial distinctions, these metaphysicians owe us some paraphrase by which we can draw those distinctions without committing ourselves to there being merely possible people. We show that such paraphrases (...) are unavailable if we limit ourselves to the expressive resources of even highly infinitary first-order modal languages. We then argue that such paraphrases are available in higher-order modal languages only given certain strong assumptions concerning the metaphysics of properties. We then consider alternative paraphrase strategies, and argue that none of them are tenable. If talk of merely possible people cannot be paraphrased, then it must be taken at face value, in which case it is necessary what individuals there are. Therefore, if it is contingent what individuals there are, then the demands of paraphrase place tight constraints on the metaphysics of properties: either (i) it is necessary what properties there are, or (ii) necessarily equivalent properties are identical, and having properties does not entail even possibly being anything at all. (shrink)

Sometimes it is not one’s place to blame or forgive. This phenomenon is captured under the philosophical notion of standing. However, there is an asymmetry to be explained here. One can successfully blame, even if one lacks the standing to do so. Yet, one cannot successfully forgive if one lacks the standing to do so. In this article we explain this asymmetry. We argue that a complete explanation depends on not only a difference in the natures of the standing to (...) blame and forgive but also a difference in the natures of blame and forgiveness themselves. (shrink)

This chapter gives an overview of the evolution of the position of the rare-earth elements in the periodic system, from Mendeleev’s time to the present. Three fundamentally different accommodation methodologies have been proposed over the years. Mendeleev considered the rare-earth elements as homologues of the other elements. Other chemists looked upon the rare earths as forming a special intraperiodic group and therefore clustered the rare-earth elements in one of the groups of the periodic table. Still others adhered to the intergroup (...) accommodation of the rare earths, according to which the rare-earth elements do not show any relationship with the other elements, so that they had to be placed within the periodic table as a separate family of elements. The intergroup accommodation became the preferred one in the twentieth century. The advantages and disadvantages of the different representations of the modern periodic table are discussed. (shrink)

The block universe theory of time is commonly said to be incompatible with temporal becoming. This confuses Maudlin who upholds both eternalism and passage. The aim of this paper is to answer Maudlin’s plea for clarification by distinguishing four degrees of temporal becoming. After discussing their respective compatibility with the block universe, I show that Maudlin asks much less from temporal becoming than most philosophers of time. Consequently, his form of becoming is compatible with the block universe, whereas the stronger (...) forms of becoming are not. (shrink)

This paper presents a challenge to conciliationist views of disagreement. I argue that conciliationists cannot satisfactorily explain why we need not revise our beliefs in response to certain moral disagreements. Conciliationists can attempt to meet this challenge in one of two ways. First, they can individuate disputes narrowly. This allows them to argue that we have dispute-independent reason to distrust our opponents’ moral judgment. This approach threatens to license objectionable dogmatism. It also inappropriately gives deep epistemic significance to superficial questions (...) about how to think about the subject matter of a dispute. Second, conciliationists can individuate disputes widely. This allows them to argue that we lack dispute-independent reason to trust our opponents’ moral judgment. But such arguments fail; our background of generally shared moral beliefs gives us good reason to trust the moral judgment of our opponents, even after we set quite a bit of our reasoning aside. On either approach, then, conciliationists should acknowledge that we have dispute-independent reason to trust the judgment of those who reject our moral beliefs. Given a conciliationist view of disagreement’s epistemic role, this has the unattractive result that we are epistemically required to revise some of our most intuitively secure moral beliefs. (shrink)

Most agree that, in some special scenarios, prudence can speak against feeling a fitting emotion. Some go further, arguing that the tension between fittingness and prudence afflicts some emotions in a fairly general way. This paper goes even further: it argues that, when it comes to anxiety, the tension between fittingness and prudence is nearly inescapable. On any plausible theory, an enormous array of possible outcomes are both bad and epistemically uncertain in the right way to ground fitting anxiety. What’s (...) more, the fittingness of an emotion is a demanding, not a permissive, normative status. So the norms of fitting emotion demand a great deal of anxiety. For almost any realistic agent, it would be deeply imprudent to feel anxiety in a way that meets the demands set by norms of fitting emotion. (shrink)

In 2019, several US states passed “heartbeat” bills. Should such bills go into effect, they would outlaw abortion once an embryonic heartbeat can be detected, thereby severely limiting an individual’s access to abortion. Many states allow health care professionals to refuse to provide an abortion for reasons of conscience. Yet heartbeat bills do not include a positive conscience clause that would allow health care professionals to provide an abortion for reasons of conscience. I argue that this asymmetry is unjustified. The (...) same criteria that justify protecting conscientious refusals to provide abortion also justify protecting positive conscientious appeals regarding abortion. Thus, if the law provides legal exemptions for health care professionals who, as a matter of conscience, refuse to provide abortions where it is legal, it should also provide exemptions for health care professionals who, as a matter of conscience, feel obligated to provide abortions where it is illegal. (shrink)

According to the structured theory of propositions, if two sentences express the same proposition, then they have the same syntactic structure, with corresponding syntactic constituents expressing the same entities. A number of philosophers have recently focused attention on a powerful argument against this theory, based on a result by Bertrand Russell, which shows that the theory of structured propositions is inconsistent in higher order-logic. This paper explores a response to this argument, which involves restricting the scope of the claim that (...) propositions are structured, so that it does not hold for all propositions whatsoever, but only for those which are expressible using closed sentences of a given formal language. We call this restricted principle Closed Structure, and show that it is consistent in classical higher-order logic. As a schematic principle, the strength of Closed Structure is dependent on the chosen language. For its consistency to be philosophically significant, it also needs to be consistent in every extension of the language which the theorist of structured propositions is apt to accept. But, we go on to show, Closed Structure is in fact inconsistent in a very natural extension of the standard language of higher-order logic, which adds resources for plural talk of propositions. We conclude that this particular strategy of restricting the scope of the claim that propositions are structured is not a compelling response to the argument based on Russell’s result, though we note that for some applications, for instance to propositional attitudes, a restricted thesis in the vicinity may hold some promise. (shrink)

According to Leininger, presentists and growing blockers cannot explain why past and present regularities persist in the future. In order to do so, they would have to appeal to enforcers, such as causation, laws or dispositions. But in a world with no future, these enforcers are powerless and cannot guarantee future regularity. I disagree and argue that Leininger’s coordination problem can be met by distinguishing type- from token-level necessitation. Whereas token-level necessitation is cross-temporal and subject to Leininger’s coordination problem, type-level (...) necessitation is atemporal and immune to the coordination problem. For this solution to work, though, type-level necessitation must be ontologically prior to token-level necessitation. This forces us to adopt a Platonist position according to which universals are transcendent, and not immanent. (shrink)

It is widely agreed that hypocrisy can undermine one’s moral standing to blame. According to the Nonhypocrisy Condition on standing, R has the standing to blame some other agent S for a violation of some norm N only if R is not hypocritical with respect to blame for violations of N. Yet this condition is seldom argued for. Macalester Bell points out that the fact that hypocrisy is a moral fault does not yet explain why hypocritical blame is standingless blame. (...) She raises a challenge: one must explain what is distinct about hypocritical blame such that the hypocritical blamer lacks the standing to blame, even if the arrogant or petty blamer does not. Of those writing on hypocrisy, only we offer a direct response to Bell’s challenge. Recently, however, our account has come under criticism. We argue here that (1) our account can handle these criticisms and that (2) no other rival account adequately addresses Bell’s challenge of explaining what is uniquely objectionable about hypocritical blame. Because answering Bell’s challenge is a necessary component of any plausible account of the relationship between hypocrisy and standing, our account remains the best on offer. (shrink)

Noam Chomsky’s well-known claim that linguistics is a “branch of cognitive psychology” has generated a great deal of dissent—not from linguists or psychologists, but from philosophers. Jerrold Katz, Scott Soames, Michael Devitt, and Kim Sterelny have presented a number of arguments, intended to show that this Chomskian hypothesis is incorrect. On both sides of this debate, two distinct issues are often conflated: (1) the ontological status of language and (2) the relation between psychology and linguistics. The ontological issue is, I (...) will argue, not the relevant issue in the debate. Even if this Chomskian position on the ontology of language is false, linguistics may still be a subfield of psychology if the relevant methods in linguistic theory construction are psychological. Two options are open to the philosopher who denies Chomskian conceptualism: linguistic nominalism or linguistic platonism. The former position holds that syntactic, semantic, and phonological properties are primarily properties, not of mental representations, but rather of public languagesentence tokens; The latter position holds that the linguistic properties are properties of public language sentence types. I will argue that both of these positions are compatible with Chomsky’s claim that linguistics is a branch of psychology, and the arguments that have been given for nominalism and platonism do not establish that linguistics and psychology are distinct disciplines. (shrink)

Sometimes, the fact that an attitude is fitting seems like a demand to have that attitude. But in other cases, the fact that an attitude is fitting seems more like a permission to have the attitude. I defend a proposal that can accommodate both of these appearances. I argue that there is a kind of emotionlessness, which I call apathy, that can be fitting or unfitting in just the same way that emotion can. I further argue that, in some cases, (...) it can be fitting to respond a single object either with emotion or with apathy. When both apathy and emotion are fitting options, the fittingness of the emotion is a permission-like status; failures to have the fitting emotion are not failures of fit. But when an emotion is fitting and apathy is unfitting, the fittingness of the emotion is a demand-like status; failures to have the emotion are failures of fit. (shrink)

Kern describes how law was perceived in the middle ages. Law does not have to be issued by the state, but it has to be old and good.

Epistemic two-dimensional semantics is a theory in the philosophy of language that provides an account of meaning which is sensitive to the distinction between necessity and apriority. While this theory is usually presented in an informal manner, I take some steps in formalizing it in this paper. To do so, I define a semantics for a propositional modal logic with operators for the modalities of necessity, actuality, and apriority that captures the relevant ideas of epistemic two-dimensional semantics. I also describe (...) some properties of the logic that are interesting from a philosophical perspective, and apply it to the so-called nesting problem. (shrink)

Two expressive limitations of an infinitary higher-order modal language interpreted on models for higher-order contingentism – the thesis that it is contingent what propositions, properties and relations there are – are established: First, the inexpressibility of certain relations, which leads to the fact that certain model-theoretic existence conditions for relations cannot equivalently be reformulated in terms of being expressible in such a language. Second, the inexpressibility of certain modalized cardinality claims, which shows that in such a language, higher-order contingentists cannot (...) express what is communicated using various instances of talk of ‘possible things’, such as ‘there are uncountably many possible stars’. (shrink)

Call the following claim Asymmetry: rationality often requires a more steadfast response to pure moral disagreement than it does to otherwise analogous non-moral disagreement. This paper briefly motivates Asymmetry and explores its implications for meta-ethics. Some philosophers have thought that anti-realists are better-placed than realists to explain Asymmetry because, if anti-realism is true, disagreement cannot provide evidence against the reliability of one's thinking about objective moral facts. This paper argues that this simple diagnosis fails to support otherwise plausible anti-realisms. It (...) closes by discussing an alternative explanation for Asymmetry, which appeals to the moral importance of steadfastness. (shrink)

This essay provides a novel argument for impurism, the view that certain non-truth-relevant factors can make a difference to a belief's epistemic standing. I argue that purists, unlike impurists, are forced to claim that certain ‘high-stakes’ cases rationally require agents to be akratic. Akrasia is one of the paradigmatic forms of irrationality. So purists, in virtue of calling akrasia rationally mandatory in a range of cases with no obvious precedent, take on a serious theoretical cost. By focusing on akrasia, and (...) on the nature of the normative judgments involved therein, impurists gain a powerful new way to frame a core challenge for purism. They also gain insight about the way in which impurism is true: my argument motivates the claim that there is moral encroachment in epistemology. (shrink)

With by far the lowest population density in the United States, myriad challenges attach to healthcare delivery in Alaska. In the “Size, Population, and Accessibility” section, we characterize this geographic context, including how it is exacerbated by lack of infrastructure. In the “Distributing Healthcare” section, we turn to healthcare economics and staffing, showing how these bear on delivery—and are exacerbated by geography. In the “Health Care in Rural Alaska” section, we turn to rural care, exploring in more depth what healthcare (...) delivery looks like outside of Alaska’s major cities. This discussion continues in the “Alaska’s Native Villages” section, which specifically analyzes healthcare in Alaska’s indigenous villages, some of the smallest and most isolated communities in the United States. Though many of the ways we could improve Alaskan health care for Alaskan residents are limited by its unique features, the “Justice and Healthcare Delivery” and “Technology and Telemedicine” sections consider ways in which certain policies and technology—including telemedicine—could mitigate the challenges developed in previous sections. (shrink)

The models of contingency in what propositions, properties and relations there are developed in Part 1 are related to models of contingency in what propositions there are due to Robert Stalnaker. It is shown that some but not all of the classes of models of Part 1 agree with Stalnaker’s models concerning the patterns of contingency in what propositions there are they admit. Further structural connections between the two kinds of models are explored.

If there is pragmatic encroachment in epistemology, whether a person knows that p can vary with normative facts about her actions—including facts that do not bear on the truth or likelihood of p. This paper raises an underappreciated question for defenders of pragmatic encroachment: which of the many norms on action are distinctively connected to knowledge? To the extent that contemporary defenders of pragmatic encroachment address this question, they do so by citing norms of ‘practical rationality.’ I show that this (...) approach can only be made to work on the assumption that all immorality involves some form of incoherence. I then suggest a pluralist strategy for pragmatic encroachers who seek to answer my question without making this heavyweight metaethical assumption: they should agree that multiple distinct norms on action play a difference-making role in epistemology. I close the paper by sketching three ways in which pragmatic encroachers might pursue this strategy. (shrink)

At the heart of chemistry lies the periodic system of chemical elements. Despite being the cornerstone of modern chemistry, the overall structure of the periodic system has never been fully understood from an atomic physics point of view. Group-theoretical models have been proposed instead, but they suffer from several limitations. Among others, the identification of the correct symmetry group and its decomposition into subgroups has remained a problem to this day. In an effort to deepen our limited understanding of the (...) periodic law, we have extended the traditional Lie algebraic framework to account for the peculiar degeneracy structure of the periodic system. Starting from the four-dimensional hidden symmetry and accidental degeneracy of the hydrogen atom, as first revealed by Fock in 1935, our research has mainly focussed on the way this SO(4) symmetry of the Coulomb potential gets broken in the periodic system as a consequence of the transformation of the hydrogenic (n, l) filling order to the Madelung (n+l, n) order due to electronic repulsions, relativistic effects and spin-orbit couplings. In this PhD dissertation, a new left-step format of the periodic table is first proposed on the basis of the Madelung rule. Following the particle physics tradition, the chemical elements are then considered as various states of some 'atomic matter', which is described by a non-compact spectrum-generating dynamical Lie group. The chemical elements are shown to form a basis for a single infinite-dimensional degeneracy space of the SO(4,2) ⊗ SU(2) group. An explanation for the period doubling is then proposed in terms of a particular symmetry breaking of the SO(4,2) group to the anti de Sitter SO(3,2) group. The Madelung rule is rationalised on the basis of nonlinear Lie algebras which reflect the screening of the Coulomb hole. This opens new perspectives for a symmetry-based understanding of how the periodic law emerges from its quantum mechanical foundations, and holds the future promise of complementing our current phenomenological approach by a direct atomic physics approach. (shrink)

According to Christine Korsgaard, Kantian hypothetical and categorical imperative principles are constitutive principles of agency. By acting in a way that is guided by these imperatives, an individual makes herself into an agent. There is hence, on her theory, an inextricable link between the nature of agency and the practical issue of why we should be rational and moral. The benefits of such an account would be great: in Korsgaard’s view, an account that bases morality on the nature of agency (...) is the basis for a refutation of any kind of moral skepticism, providing an indubitable and objective foundation for morality. This may seem too good to be true, and it is. Korsgaard could only succeed at offering a foundation for morality at a great cost. The cost is that Korsgaard gives too restrictive an account of agency. Korsgaard does not present a coherent account of irrational or immoral agency, and the inability to offer an account of such agency implies an inability to offer a proper account of responsibility. Korsgaard’s view shares a fundamental flaw with Immanuel Kant’s account of morality in the Groundwork of the Metaphysics of Morals: Korsgaard cannot give a full, adequate account of individual responsibility. In light of the failure of Kant’s and Korsgaard’s accounts, Kantians need to provide a better, more comprehensive characterization of agency. Presenting a proper account of agency will require a rejection of a central tenet of traditional Kantian metaethics, but the rejection of this central tenet does not require a full rejection of Kantianism. (shrink)

In this paper, I defend an epistemic requirement on fitting hopes and worries: it is fitting to hope or to worry that p only if one’s epistemic position makes it rational to suspend judgment as to whether p. This view, unlike prominent alternatives, is ecumenical; it retains its plausibility against a variety of different background views of epistemology. It also has other important theoretical virtues: it is illuminating, elegant, and extensionally adequate. Fallibilists about knowledge have special reason to be friendly (...) to my view; it can help them explain why it can be unfitting to hold on to hope and worry in the face of overwhelming evidence, and it can also help them explain the sense in which knowledge that p and hope that –p are in tension with one another. (shrink)

A new puzzle of modal recombination is presented which relies purely on resources of first-order modal logic. It shows that naive recombinatorial reasoning, which has previously been shown to be inconsistent with various assumptions concerning propositions, sets and classes, leads to inconsistency by itself. The context sensitivity of modal expressions is suggested as the source of the puzzle, and it is argued that it gives us reason to reconsider the assumption that the notion of metaphysical necessity is in good standing.

There are words. There are sentences. There are languages. Commonsense linguistic realism is the conjunction of the three preceding claims. Linguists and philosophers including Noam Chomsky (1986, 2000), Georges Rey (2006, 2008), and Barry C. Smith (2006) have presented skeptical doubts regarding the existence of linguistic entities. These doubts provide no good reason to deny commonsense linguistic realism. Some skeptical doubts are in fact not directed at the metaphysical thesis of commonsense linguistic realism but rather only at non-metaphysical methodological concerns. (...) In some instances, linguistic antirealists make their case by foisting upon the realist assumptions that she need not hold regarding the nature of linguistic entities. Furthermore, those who have denied the existence of linguistic entities have not themselves presented an alternative account of words, sentences, or languages that is coherentor defensible. I present an elaboration and defense of commonsense linguistic realism as a metaphysical thesis, with the aim of deflating concerns that have arisen about the existence of language. (shrink)

There are two main ways to teach a course online: synchronously or asynchronously. In an asynchronous course, students can log on at their convenience and do the course work. In a synchronous course, there is a requirement that all students be online at specific times, to allow for a shared course environment. In this article, the author discusses the strengths and weaknesses of synchronous online learning for the teaching of undergraduate philosophy courses. The author discusses specific strategies and technologies he (...) uses in the teaching of online philosophy courses. In particular, the author discusses how he uses videoconferencing to create a classroom-like environment in an online class. (shrink)

Timothy Williamson has argued that in the debate on modal ontology, the familiar distinction between actualism and possibilism should be replaced by a distinction between positions he calls contingentism and necessitism. He has also argued in favor of necessitism, using results on quantified modal logic with plurally interpreted second-order quantifiers showing that necessitists can draw distinctions contingentists cannot draw. Some of these results are similar to well-known results on the relative expressivity of quantified modal logics with so-called inner and outer (...) quantifiers. The present paper deals with these issues in the context of quantified modal logics with generalized quantifiers. Its main aim is to establish two results for such a logic: Firstly, contingentists can draw the distinctions necessitists can draw if and only if the logic with inner quantifiers is at least as expressive as the logic with outer quantifiers, and necessitists can draw the distinctions contingentists can draw if and only if the logic with outer quantifiers is at least as expressive as the logic with inner quantifiers. Secondly, the former two items are the case if and only if all of the generalized quantifiers are first-order definable, and the latter two items are the case if and only if first-order logic with these generalized quantifiers relativizes. (shrink)

Radical moral encroachment is the view that belief itself is morally evaluable, and that some moral properties of belief itself make a difference to epistemic rationality. To date, almost all proponents of radical moral encroachment hold to an asymmetry thesis: the moral encroaches on rational belief, but not on rational credence. In this paper, we argue against the asymmetry thesis; we show that, insofar as one accepts the most prominent arguments for radical moral encroachment on belief, one should likewise accept (...) radical moral encroachment on credence. We outline and reject potential attempts to establish a basis for asymmetry between the attitude types. Then, we explore the merits and demerits of the two available responses to our symmetry claim: (i) embracing moral encroachment on credence and (ii) denying moral encroachment on belief. (shrink)

Properties and facts play a central role within metaphysics, yet there is no widely accepted account of what constitutes a property or a fact. Traditional conceptions of these metaphysical notions raise serious philosophical puzzles, making the existence of each seem dubious. Drawing on the minimalist theory of truth, I argue in favor of a minimalist conception of properties and facts. A minimalist theory of properties and facts explains these matters in terms of the acceptance of trivial schemas. To make the (...) case that minimalism is a superior approach to properties and facts, I argue against the standard views in the philosophical literature. I argue that the minimalist approach to properties has advantages over realism, nominalism, and the trope theory. I argue that the minimalist approach to facts is superior to the standard treatment of facts on correspondence theories. Metaphysical minimalism, a minimalist metaphysics of properties and facts, is a distinct and superior alternative to the theories of properties and facts currently on offer. (shrink)

The metaphysical dispute between moral realists and antirealists is cast in terms of properties: the realist holds that moral properties exist, the antirealist denies this claim. There is a longstanding philosophical dispute over the nature of properties, and the obscurity of properties may make the realist/antirealist dispute even more obscure. In the spirit of deflationary theories of truth, we can turn to a deflationary theory of properties in order to clarify this issue. One might reasonably worry that such an account (...) of properties would not be capable of properly characterizing disputes regarding the existence or nonexistence of genuine moral properties. In this paper, I will show that, within this framework, the traditional disputes over the existence of moral properties can be characterized in a far clearer fashion than is usually the case. A deflationary account of properties, along with an explanatory hierarchy of properties, makes the dispute in ontology clear. (shrink)

Traditionally, those writing on blame have been concerned with blaming others, including when one has the standing to blame others. Yet some alleged problems for such accounts of standing arise when we focus on self-blame. First, if hypocrites lack the standing to blame others, it might seem that they also lack the standing to blame themselves. But this would lead to a bootstrapping problem, wherein hypocrites can only regain standing by doing that which they lack the standing to do. Second, (...) in addition to hypocrites, there may be hypercrites, who blame themselves more severely than others. Leading accounts for why hypocrites lack standing to blame others would also seem to imply that hypercrites lack the standing to blame others, but some may find this counterintuitive. We argue that neither of these problems from self-blame poses a unique threat to leading accounts of standing. (shrink)

Many writers have recently argued that there is something distinctively problematic about sustaining moral beliefs on the basis of others’ moral views. Call this claim pessimism about moral deference. Pessimism about moral deference, if true, seems to provide an attractive way to argue for a bold conclusion about moral disagreement: moral disagreement generally does not require belief revision. Call this claim steadfastness about moral disagreement. Perhaps the most prominent recent discussion of the connection between moral deference and moral disagreement, due (...) to Alison Hills, uses pessimism about the former to argue for steadfastness about the latter. This paper reveals that this line of thinking, and others like it, are unsuccessful. There is no way to argue from a compelling version of pessimism about moral deference to the conclusion of steadfastness about moral disagreement. The most plausible versions of pessimism about moral deference have only very limited implications for moral disagreement. (shrink)

Course Description: Science appears to be extraordinarily successful is two crucial respects. First, science apparently serves as an extremely reliable vehicle for arriving at the truth (as contrasted with astrology or palm reading). Second, the methodology of science seems eminently rational (again as opposed to the methodologies of astrology or palm reading). Philosophers have been quite interested in these two apparent virtues of science. Some philosophers think that the two virtues are illusory and that, upon reflection, science is not significantly (...) superior to astrology or palm reading. Some philosophers even reject concepts like truth and rationality as somehow bogus or illegitimate. Our basic goal in this course is to survey 20th century philosophy of science as centered upon such disputes. To this end, our focus will be upon the following question: are truth and rationality genuine features of scientific inquiry, or are they mere illusions? (shrink)